On an iteration leading to a q-analogue of the Digamma function
We show that the q-Digamma function psi_q for 0<q<1 appears in an iteration studied by Berg and Durán. In addition we determine the probability measure ν_q with moments 1/\sum_{k=1}^{n+1} (1-q)/(1-q^k), which are q-analogues of the reciprocals of the harmonic numbers.
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